Atkin-Lehner |
2- 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44770m |
Isogeny class |
Conductor |
44770 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
5243820560 = 24 · 5 · 116 · 37 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-628,-4793] |
[a1,a2,a3,a4,a6] |
Generators |
[-130:303:8] |
Generators of the group modulo torsion |
j |
15438249/2960 |
j-invariant |
L |
7.9215479999589 |
L(r)(E,1)/r! |
Ω |
0.96651441520589 |
Real period |
R |
2.0489989273099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
370a1 |
Quadratic twists by: -11 |